MathDB
Problems
Contests
National and Regional Contests
Netherlands Contests
Dutch Mathematical Olympiad
1995 Dutch Mathematical Olympiad
3
3
Part of
1995 Dutch Mathematical Olympiad
Problems
(1)
marbles
Source: Netherlands 1995
6/28/2009
Let
101
101
101
marbles be numbered from
1
1
1
to
101
101
101
. The marbles are divided over two baskets
A
A
A
and
B
B
B
. The marble numbered
40
40
40
is in basket
A
A
A
. When this marble is removed from basket
A
A
A
and put in
B
B
B
, the averages of the numbers
A
A
A
and
B
B
B
both increase by
1
4
\frac{1}{4}
4
1
ā
. How many marbles were there originally in basket
A
?
A?
A
?